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Finding the Fourth Proportional to 22,832.74, 34,249.11 and 6,192.78

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Solution

The fourth proportional to 22,832.74, 34,249.11 and 6,192.78 is: 9,289.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,832.74 : 34,249.11 = 6,192.78 : x
  2. Step 2: Convert to fraction form
    22,832.74/34,249.11 = 6,192.78/x
  3. Step 3: Cross multiply
    22,832.74x = 34,249.11 × 6,192.78
  4. Step 4: Simplify right side
    22,832.74x = 212,097,203.43
  5. Step 5: Solve for x
    x = 212,097,203.43/22,832.74
  6. Step 6: Final answer
    x = 9,289.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.